One-Way ANOVA on a Calculator
One-Way ANOVA on a Calculator, A one-way ANOVA (Analysis of Variance) is a statistical method used to determine if there are significant differences between the means of three or more independent groups.
One-Way ANOVA on a Calculator
This tutorial provides a step-by-step guide on how to perform a one-way ANOVA using a TI-84 calculator.
Example: One-Way ANOVA Scenario
Imagine we recruit 30 students for a study in which they are randomly assigned to use one of three different studying techniques for one month.
After the study period, all students take the same exam. The objective is to analyze whether the average exam scores differ across the three groups.
Step 1: Enter the Data
The first step is to input the exam scores for each group into the TI-84 calculator.
- Press the
STATbutton. - Select
EDITto access the lists. - Enter the exam scores for the first studying technique in Column L1, the second technique in Column L2, and the third technique in Column L3.
Step 2: Perform the One-Way ANOVA
Now we will execute the one-way ANOVA:
- Press the
STATbutton again. - Scroll over to
TESTS. - Continue scrolling until you find the ANOVA option and press
ENTER.
Now, you’ll need to input the lists where you stored your data:
- Type in
L1, L2, L3to indicate the data lists. To enter the list names: - Press
2ndand then1for L1. - Press
,(comma). - Press
2ndand then2for L2. - Press
,(comma). - Press
2ndand then3for L3.
Your input should look like this: ANOVA(L1, L2, L3). Press ENTER to proceed.
Step 3: Interpret the Results
After pressing ENTER, the calculator will output the results of the one-way ANOVA:
- You will see the F-statistic, which might be around 2.3575, and the corresponding p-value, perhaps 0.1138.
To draw conclusions:
- Since the p-value (0.1138) is greater than the significance level (0.05), we fail to reject the null hypothesis.
- This indicates that there is not enough evidence to claim that the mean exam scores differ among the three groups. In other words, we cannot conclude that the studying techniques lead to different exam outcomes.
Conclusion
The one-way ANOVA procedure on the TI-84 calculator provides an efficient way to determine if there are significant differences among multiple group means.
By following the steps outlined above, you can easily analyze data and make informed decisions based on statistical evidence.
